We give, in some detail, a critical overview over recent work towards deriving a cosmological
phenomenology from the fundamental quantum dynamics of group field theory (GFT), based …

By virtue of the Noether theorems, the vast gauge redundancy of general relativity provides
us with a rich algebra of boundary charges that generate physical symmetries. These …

A bstract In this second paper of the series we continue to spell out a new program for
quantum gravity, grounded in the notion of corner symmetry algebra and its representations …

We study the effective cosmological dynamics, emerging as the hydrodynamics of simple
condensate states, of a group field theory (GFT) model for quantum gravity coupled to a …

We provide a non-technical overview of recent extensions of renormalization methods and
techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum …

Spin foams provide path integrals for quantum gravity, which employ discretizations as
regulator. To obtain regulator independent predictions, we must remove these fiducial …

As explained in Chapter 1, loop quantum gravity has provided a rigorous nonperturbative
framework, in which to formulate the dynamics of quantum gravity. It allowed fascinating …

The first computation of a spin foam dynamics that provides a test of the quantum equations
of motions of gravity is presented. Specifically, a triangulation that includes an inner edge is …

In quantum gravity, we envision renormalization as the key tool for bridging the gap between
microscopic models and observable scales. For spin foam quantum gravity, which is defined …

Although spin foams arose as quantizations of the length metric degrees of freedom, the
quantum configuration space is rather based on areas as more fundamental variables. This …